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Solnce55 [7]
3 years ago
9

2 times what equals 36

Mathematics
1 answer:
yarga [219]3 years ago
7 0
2 times 18 equals 36... Did I do a good job answering your question?? If so, brainliest, please. :)
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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviat
dimulka [17.4K]

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ -  5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is  5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ -  5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ =  5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

To know more about Normal distribution here.

brainly.com/question/12421652

#SPJ1

7 0
10 months ago
Please help I will give brainly and show your work also :)
hoa [83]
Use a calculator what?
6 0
3 years ago
Read 2 more answers
Brainliest if its right
ddd [48]

Answer:

14

Step-by-step explanation:

28=Diameter

Radius= D/2

=14

6 0
2 years ago
65pts! plot the vertex and the axis of symmetry of this function:
Mashcka [7]

Answer:

f(x)=(x−3)2−5

Find the properties of the given parabola.

Direction:

Vertex: (3,−5)

Focus: (3,−194)

Axis of Symmetry: x=3

Directrix: y=−214

Select a few x

values, and plug them into the equation to find the corresponding y values. The x

values should be selected around the vertex.

x  y

1   -1

2  -4

3   -5

4   -4

5    -1

Graph the parabola using its properties and the selected points.

Direction:

Vertex: (3,−5)

Focus: (3,−194)

Axis of Symmetry: x=3

Directrix: y=−214

x  y

1   -1

2  -4

3   -5

4   -4

5    -1

4 0
3 years ago
Read 2 more answers
The opposite of 5x and 5x+8?
lara31 [8.8K]

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

7 0
3 years ago
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